Question

The mass of Earth’s Moon is about 7 X 10 to the 22 power kilograms. The Mass of Jupiter is about 1.89 x 10 to the 27 Power Kilograms. how many times the mass of Earth’s Moon?

Answer 1

Answer:

2.025

⋅

10

20

,

0.002759          

Step-by-step explanation:

F

=

G

(

m

1

)

(

m

2

)

r

2

F

=

(

6.67300

×

10

−

11

)

(

7.34

⋅

10

22

k

g

)

5.97

⋅

10

24

k

g

(

3.8

⋅

10

8

m

)

2

=

2.025

⋅

10

20

Answer 2

Answer:

27,000 times.

Step-by-step explanation:

We have been given that the mass of Earth’s Moon is about $7\times 10^{22}$ kilograms. The Mass of Jupiter is about $1.89\times 10^{27}$ kilograms.  

To solve our given problem, we will divide mass of Jupiter by mass of Earth's moon.

$\frac{1.89\times 10^{27}}{7\times 10^{22}}$

Using property $\frac{a^m}{a^n}=a^{m-n}$, we will get:

$\frac{1.89}{7}\times 10^{27-22}$

$0.27\times 10^{5}$

$0.27\times 100000$

$27,000$

Therefore, the mass of Jupiter is 27,000 times the mass of Earth’s Moon.